you have a rectangular box the sum of ghe length and breadth of the box is 27 cm and the area of box 182cm².what will be the lenght and breadthof the box
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you have a rectangular box the sum of ghe length and breadth of the box is 27 cm and the area of box 182cm².what will be the lenght and breadthof the box
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Step-by-step explanation:
Hey there,
The length , breadth and height are length = 28cm , breadth = 21 cm and height = 14 cm.
The length , breadth and height of the rectangular box are in the ratio 4:3:2.
Let us assume the common multiple of the ratios be x.
The length(l) becomes 4x , breath(b) becomes 3x and the height(h) becomes 2x.
Now the total surface area of the rectangular box is given as 2548 cm².
Total surface area =2(lb + bh +hl)
Substituting the values in the formula,
TSF =
2548 =
2548 =
1274 =
49 =
x = 7.
Therefore, length = 28cm , breadth = 21 cm and height = 14 cm.
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Hope this will help you...
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Answer:
Length = 13 OR 14 cm
Breadth = 14 OR 13 cm
Step-by-step explanation:
Given, l + b = 27 cm, Area = 182 cm²
Suppose length is x cm then breadth = (27 - x) cm
Now let's equate,
⇒ x(27-x) = 182 (∵ Area = length * breadth)
⇒ 27x - x² = 182
⇒ x² - 27x = -182 (Multiplying both sides by -1)
⇒ x² - 27x + 182 = 0 (Adding 182 on both sides)
⇒ x² - 13x - 14x + 182 = 0
(Think of two numbers whose sum is -27 and product is 182)
⇒ x(x - 13) - 14(x - 13) = 0 (Let's solve the quadratic equation)
⇒ (x - 13)(x - 14) = 0
⇒ x = 13 OR 14
Hence, the length & breadth can be 13 cm or 14 cm respectively or vice-versa.